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Finding the Third Proportional to 162,106.50 and 349,182

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Solution

The third proportional to 162,106.50 and 349,182 is: 752,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,106.50 : 349,182 = 349,182 : x
  2. Step 2: Convert to fraction form
    162,106.50/349,182 = 349,182/x
  3. Step 3: Cross multiply
    162,106.50x = 349,182 × 349,182
  4. Step 4: Simplify right side
    162,106.50x = 121,928,069,124
  5. Step 5: Solve for x
    x = 121,928,069,124/162,106.50
  6. Step 6: Final answer
    x = 752,147.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.